Just checked Apple’s TSSstatus/API-Status site: 6.1.3 is not signed any more, which means it can’t be installed. In fact, Apple doesn’t sign any software for the iPhone 4s.
It’s possible that you can’t update to 9.3.5 either. During the installation, the iPhone connects to Apple’s servers, which make sure the “right” iOS (the one signed by Apple) will be installed.
It’s possible that you can’t update to 9.3.5 either. During the installation, the iPhone connects to Apple’s servers, which make sure the “right” iOS (the one signed by Apple) will be installed.